The tilting tensor product theorem and decomposition numbers for symmetric groups
Cox, A. (2007). The tilting tensor product theorem and decomposition numbers for symmetric groups. Algebras and Representation Theory, 10(4), pp. 307-314. doi: 10.1007/s10468-007-9051-8
Abstract
We show how the tilting tensor product theorem for algebraic groups implies a reduction formula for decomposition numbers of the symmetric group. We use this to prove generalisations of various theorems of Erdmann and of James and Williams.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | tilting tensor product theorem, algebraic group, symmetric group, WEYL MODULES, ALGEBRAIC-GROUPS, HECKE ALGEBRAS, REPRESENTATIONS |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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